Question

use one exponent to condense the expression below. then compute and/or simplify.\\(-3xz \cdot -3xz \cdot -3xz \cdot -3xz\\)\
answer attempt 1 out of 2\
type the base, then use the \\(a^b\\) button or type the ^ symbol on your keyboard for the exponent.\
condensed form: \\(\square\\) \\(a^b\\)\
answer: \\(\square\\) \\(a^b\\)

Explanation:

Step1: Identify the base and count factors

The expression is \(-3xz \cdot -3xz \cdot -3xz \cdot -3xz\). The base being multiplied repeatedly is \(-3xz\), and there are 4 factors.

Step2: Apply the exponent rule

Using the rule \(a \cdot a \cdot \dots \cdot a\) (n times) \(= a^n\), we condense the expression. So \(-3xz\) multiplied 4 times is \((-3xz)^4\).

Step3: Simplify the expression

First, calculate \((-3)^4 = 81\), and \((x)^4 = x^4\), \((z)^4 = z^4\). So \((-3xz)^4 = 81x^4z^4\).

Answer:

Condensed Form: \((-3xz)^4\)